Formal Recursive Layer Theory and the Generative Construction of Mathematical Structures

FRLT formalizes generation through informational, generative, and causal layers. Twist‑insertion integrates quaternion rotation, phase flow, and lemniscate geometry, producing structural pivots and unified groupoid dynamics. The framework constructs manifold formation and causal organization as generative mathematical processes. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-12
DOI
https://doi.org/10.5281/zenodo.23306031
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
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article

Formal Recursive Layer Theory and the Generative Construction of Mathematical Structures

Shin Tamaki
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

Formal Recursive Layer Theory and the Generative Construction of Mathematical Structures

Shin Tamaki
article en

Abstract

FRLT formalizes generation through informational, generative, and causal layers. Twist‑insertion integrates quaternion rotation, phase flow, and lemniscate geometry, producing structural pivots and unified groupoid dynamics. The framework constructs manifold formation and causal organization as generative mathematical processes. This work is licensed under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 13%
Advanced Mathematical Theories and Applications
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